Title :
Expressions of the phase and gain margins as roots of polynomials and its applications
Author :
Kitamoto, Takuya
Author_Institution :
Fac. of Educ., Yamaguchi Univ., Yamaguchi, Japan
Abstract :
This paper presents a method to express the phase and gain margins of a given SISO system as roots of polynomials. The expression is useful especially when the given system contains unknown parameters where numerical methods cannot be applied. We present a numerical example to illustrate the method and its applications.
Keywords :
optimisation; polynomials; SISO; gain margin; numerical method; optimization problem; phase margin; polynomial roots; single input single output system; Algebra; Application software; Control systems; Design optimization; Equations; Hydrogen; Output feedback; Polynomials; Three-term control; PID control; computer algebra; parametric computation; phase and gain margin;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
